What is (\partial)/(\partial x)(e^{-8x}) ?

The answer to (\partial)/(\partial x)(e^{-8x}) is -8e^{-8x}

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(\partial)/(\partial x)(e^{-8x})

\frac{\partial}{\partial x} (e^{- 8 x})

- 8 e^{- 8 x}

Solution steps

\frac{\partial}{\partial x} (e^{- 8 x})

Apply the chain rule:

e^{- 8 x} \frac{\partial}{\partial x} (- 8 x)

= e^{- 8 x} \frac{\partial}{\partial x} (- 8 x)

\frac{\partial}{\partial x} (- 8 x) = - 8

= e^{- 8 x} (- 8)

Simplify

= - 8 e^{- 8 x}

\frac{d}{d y} (cos (2 y))

x \to 0 - lim (5 x^{3} - 7 x^{2} + 2^{x} - 2)

\int \frac{1}{t ^{2} - 6 t + 34} d t

y = \frac{1}{x}

f (x) = 8 (x - \frac{1}{x})^{2}

What is (\partial)/(\partial x)(e^{-8x}) ?
The answer to (\partial)/(\partial x)(e^{-8x}) is -8e^{-8x}